Law of the Broken Futon——是什么决定了我们的学习数学的天花板？

智商？努力？乐观？欲望？。。。

 

“It’s okay that you don’t understand. Just follow these steps and check your answer in the back.”

 “Only the clever ones will get it; for the rest, I just want to make sure they can do it.” 

“Well, they don’t understand it now, but they’ll figure it out on their own eventually.”

In doing this, we may succeed in getting the futon up the stairs. But something is lost in the process. Sending our students forward without key understandings is like marching them into battle without replacement ammo. Sure, they’ll fire off a few rounds, but by the time they realize something is missing, it’ll be too late to recover.

 

Adding the missing piece later means waiting until the damage is already underway, and hellishly difficult to undo.

晚些时候再补上缺失的部分，意味着要等到损害已经发生，而且难以弥补。

 

A student who can answer questions without understanding them is a student with an expiration date.

能回答问题但不理解问题的学生是有期限的学生。

 

是什么决定了我们的学习数学的天花板？

是学习与理解过程中的每一步！

 

参考来源：https://mathwithbaddrawings.com/2015/04/08/the-math-ceiling-wheres-your-cognitive-breaking-point/